The hollow square cross section shown has a wall thickness, T, of 10.9 mm. Determine the second moment of area of the cross section. Note: Give your answer in mm4 Note: Do NOT include units in your answer

The hollow square cross section shown has a wall thickness, T, of 10.9 mm. Determine the second moment of area of the cross section. Note: Give your answer in mm4 Note: Do NOT include units in your answer

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.17P: A W867 section is joined to a C1020 section to form a structural member that has the cross section...

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A W867 section is joined to a C1020 section to form a structural member that has the cross section shown. Calculate Ix and Iy for this cross section. (See Probs. 9.13 and 9.16 for the properties of the structural sections.)
A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown. a.Determine the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths. b.Determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures. c. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. d. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures.
a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (σmax) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous.
b)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
A simply supported beam has a symmetrical rectangular cross-section. If thesecond moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. (show all work)
Determine the shape factor f for a hollow circular cross section has an inner radius r1 and a radius outer r2.
a) The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IYYcentroid). Give your answer in mm4 to two significant figures. b) If the second moment of area (IXX) for the solid homogeneous beam section shown below is 917,387.73 mm4, determine the diameter d. Give your answer in millimetres (mm) to two decimal places.
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 16 mm d = 110 mm t = 4.8 mm Additionally: • The area of each pipe is A = 1586 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 194710000 mm4. If the beam will be subjected to a shear force of V = 170 kN, determine the shear stress at point K, located at yK = 70 mm below the z centroidal axis.
The rod BD is made of material with G1= 33 GPa has a diameter 46 mm is bonded to the tube CA at point B, the tube made of material with G2=56 GPa has an outer diameter 97 mm and wall thickness of 8 mm. If T1=1268 N.m and T2=2282 N.m, answer the following questions: The polar moment of inertia of the rod BD is The polar moment of inertia of the tube CA is The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is The angle of twist between C and B is The reaction at point A is
A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4, Iz = 150,000 mm4, and M = 400,000 + UV in N.mm, where UV is 21(a) Calculate the components of the bending moment on the y and z axes, Myand Mz.(b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.(c) Calculate the maximum tensile stress and the maximum compressive stress in the cross section